The 30 equal division divides the octave into 30 equal steps of precisely 40 cents each. Its patent val is a doubled version of the patent val for 15edo through the 11-limit, so 30 can be viewed as a contorted version of 15. In the 13-limit it supplies the optimal patent val for quindecic temperament.

However, 5\30 is 200 cents, which is a good (and familiar) approximation for 9/8, and hence 30 can be viewed inconsistently, as having a 9' at 95\30 as well as a 9 at 96\30. Instead of the 18\30 fifth of 720 cents, 30 also makes available a 17\30 fifth of 680 cents. This is an ideal tuning for pelogic (5-limit mavila), which tempers out 135/128. When 30 is used for pelogic, 5\30 can again be used inconsistently as a 9/8.

Below is a plot of the Z function around 30:

Intervals

Step	Cents	ups and downs notation
0	0¢	P1	unison, minor 2nd	D, Eb
1	40	^1, ^m2	up unison, upminor 2nd	D^, Eb^
2	80	^^1, v~2	double-up unison, downmid 2nd	D^^, Eb^^
3	120	~2	mid 2nd	Ev3
4	160	^~2	upmid 2nd	Evv
5	200	vM2	downmajor 2nd	Ev
6	240	M2, m3	major 2nd, minor 3rd	E, F
7	280	^m3	upminor 3rd	F^
8	320	v~3	downmid 3rd	F^^
9	360	~3	mid 3rd	F^3
10	400	^~3	upmid 3rd	F#vv
11	440	vM3, v4	downmajor 3rd, down 4th	F#v, Gv
12	480	P4	major 3rd, perfect 4th	F#, G
13	520	^4, ^d5	up 4th, updim 5th	G^, Ab^
14	560	^^4, ^^d5	double-up 4th, double-up dim 5th	G^^, Ab^^
15	600	^34, v35	triple-up 4th, triple-down 5th	G^3, Av3
16	640	vvA4, vv5	double-down aug 4th, double-down 5th	G#vv, Avv
17	680	vA4, v5	downaug 4th, down 5th	G#v, Av
18	720	P5	perfect 5th, minor 6th	A, Bb
19	760	^5, ^m6	up 5th, upminor 6th	A^, Bb^
20	800	v~6	downmid 6th	Bb^^
21	840	~6	mid 6th	Bv3
22	880	^~6	upmid 6th	Bvv
23	920	vM6	downmajor 6th	Bv
24	960	M6. m7	major 6th, minor 7th	B, C
25	1000	^m7	upminor 7th	C^
26	1040	v~7	downmid 7th	C^^
27	1080	~7	mid 7th	C^3
28	1120	^~7, vv8	upmid 7th, double-down 8ve	C#vv, Dvv
29	1160	vM7, v8	downmajor 7th, down 8ve	C#v, Dv
30	1200	P8	major 7th, 8ve	C#, D

Commas

30 EDO tempers out the following commas. (Note: This assumes the val < 30 48 70 84 104 111 | .)

Comma	Monzo	Value (Cents)	Name 1	Name 2	Name 3
256/243	\| 8 -5 >	90.22	Limma	Pythagorean Minor 2nd
250/243	\| 1 -5 3 >	49.17	Maximal Diesis	Porcupine Comma
128/125	\| 7 0 -3 >	41.06	Diesis	Augmented Comma
15625/15552	\| -6 -5 6 >	8.11	Kleisma	Semicomma Majeur
1029/1000	\| -3 1 -3 3 >	49.49	Keega
49/48	\| -4 -1 0 2 >	35.70	Slendro Diesis
64/63	\| 6 -2 0 -1 >	27.26	Septimal Comma	Archytas' Comma	Leipziger Komma
64827/64000	\| -9 3 -3 4 >	22.23	Squalentine
875/864	\| -5 -3 3 1 >	21.90	Keema
126/125	\| 1 2 -3 1 >	13.79	Septimal Semicomma	Starling Comma
4000/3969	\| 5 -4 3 -2 >	13.47	Octagar
1029/1024	\| -10 1 0 3 >	8.43	Gamelisma
6144/6125	\| 11 1 -3 -2 >	5.36	Porwell
250047/250000	\| -4 6 -6 3 >	0.33	Landscape Comma
100/99	\| 2 -2 2 0 -1 >	17.40	Ptolemisma
121/120	\| -3 -1 -1 0 2 >	14.37	Biyatisma
176/175	\| 4 0 -2 -1 1 >	9.86	Valinorsma
65536/65219	\| 16 0 0 -2 -3 >	8.39	Orgonisma
385/384	\| -7 -1 1 1 1 >	4.50	Keenanisma
441/440	\| -3 2 -1 2 -1 >	3.93	Werckisma
4000/3993	\| 5 -1 3 0 -3 >	3.03	Wizardharry
3025/3024	\| -4 -3 2 -1 2 >	0.57	Lehmerisma